Question

In how many different ways the letters of the word
“TRANSFORM can be arranged such that ‘N' and 'S'
always come together?
(1) 362880
(2) 80640 (3) 20160
(4) 5040
(5) 40320​

Answer 1

There are 9 letters in TRANSFORM. We have to consider S and R as one letter. Then the number of letters will be 8. And in that there are 2 R's.

So, From this we get

=> (8!/2)

=> 20160

Now,

N and S can be arranged themselves in 2! ways.

=> 2! * 20160

=> 40320

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